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In the center of town there is a square park with side length 30 ft. If a person walks from one corner of the park to the opposite corner, how far does the person walk? Round to the nearest foot.

Respuesta :

Answer: The distance that the person walks 42 feet.

Step-by-step explanation:

Since we have given that

Length of side of square park = 30 feet

We need to find the distance that the person walk from one corner of the park to the opposite corner.

So, we need to find the "Diagonal of the square park ":

[tex]Diagonal=\sqrt{2}Side\\\\Diagonal=\sqrt{2}\times 30\\\\Diagonal=42.42\ feet\\\\Diagonal=42\ feet[/tex]

Hence, the distance that the person walks 42 feet.

The distance traveled by the person is 42 ft.

Given to us

  • The side length of the park = 30 ft.

We know the person is walking from one corner of the park to the opposite side of the park, therefore, the person is walking along the diagonal of the square park.

What is the Diagonal of a square?

the diagonal of the square = a√2

therefore,

the distance between the two opposite corners of the park = a√2

                                                                                                  = 30 x √2

                                                                                                  = 30√2 ft

                                                                                                  = 42.4264 ft

                                                                                                  ≈ 42 ft

Hence, the distance traveled by the person is 42 ft.

Learn more about the diagonal of square:

https://brainly.com/question/3417399

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